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- Interdisciplinary Centre for Security, Reliability and TrustLU4 papers
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Showing 2002Show all
3 papers · 1 filter
math.RA2002
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…
math.QA2002★ 1 cited
Global Deformations of the Witt Algebra of Krichever-Novikov Type
Alice Fialowski, Martin Schlichenmaier
By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigi…
math.RT2002★ 2 cited
Equivariant Operators between some Modules of the Lie Algebra of Vector Fields
Norbert Poncin
The space D(k,p) of differential operators of order at most k, from the differential forms of degree p of a smooth manifold M into the functions of M, is a module over the Lie alge…